Numerical features of the fifth-order nonlinear Kawahara equation for modeling shallow water waves

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dc.authorid0000-0001-8500-493X
dc.contributor.authorBashan, Ali
dc.date.accessioned2026-02-08T15:15:30Z
dc.date.available2026-02-08T15:15:30Z
dc.date.issued2025
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractIn the present study, numerical solutions of the important type of the fifth-order Korteweg-de Vries (KdV) equation for modeling shallow water waves, namely, Kawahara equation, are investigated. With the solutions of the higher order Kawahara equation used in the modeling of shallow water waves, the behavior change of the wave with parameter changes is revealed. Unlike the classical numerical methods, two effective numerical methods are combined and used together. One of the components of the scheme is differential quadrature method (DQM) that approaches the derivative of the mesh points in the solution domain. In other words, space discretization is completed by using DQM. The other component is the Crank-Nicolson scheme, which is the effective type of the finite difference method. By using the advantages of the DQM and Crank-Nicolson scheme with effective linearization technique together, high accurate solutions are obtained. Four different test problems and their various forms are solved numerically. Error norms, central processing unit times, rate of convergence, and three invariants are calculated and reported. Published under an exclusive license by AIP Publishing.https://doi.org/10.1063/5.0276849I
dc.identifier.doi10.1063/5.0276849
dc.identifier.issn1070-6631
dc.identifier.issn1089-7666
dc.identifier.issue7
dc.identifier.scopus2-s2.0-105010765563
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1063/5.0276849
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5819
dc.identifier.volume37
dc.identifier.wosWOS:001529200800011
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAip Publishing
dc.relation.ispartofPhysics of Fluids
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzWOS_KA_20260207
dc.subjectKdv Equation
dc.subjectSolitons
dc.subjectForms
dc.titleNumerical features of the fifth-order nonlinear Kawahara equation for modeling shallow water waves
dc.typeArticle

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